If it looks like a Particle Zoo, swims like a Particle Zoo, and quacks like a Particle Zoo, it's a subset of a highly symmetric extension, right?
What's the matter with it just being a Particle Zoo? The Biologists get on just fine talking about family trees and possible extensions without...
Depending on interpretation, it'd be yes or no.
Completely Random, if your interpretation says that the "wave" characteristic exists or that all other possible worlds exist.
--Not-- at all Random, if your interpretation says that classical physics arises out of an unknowable -deeper-...
This is a question about Clifford Algebra, so it might fit here in Linear & Abstract Algebra. However, APS and STA are specifically used for special/general relativity.
APS is the algebra of 3 euclidean vectors + 1 scalar (Also called Cl_3). As far as I can tell from looking at the Wikipedia...
Hestenes' view seems to be that whenever the imaginary unit i is seen in an equation, we can instead see it as an element of a real Clifford algebra. I suppose that this answers my call for a geometric view of complex Clifford algebras. However, it looks to me (and I've just begun studying...
Woah, what a timely Zombie Thread. I started reading about GA about a week ago.
As far as I can tell (which isn't too far as I haven't been reading about it for too long), GA is exactly the same as Clifford Algebra. The only difference is where Hestenes puts his emphasis.
Personally, I really...
Yes, this was the source of Einstein's objection. EPR had essentially believed in local hidden variables and complained that Quantum Mechanics doesn't make any sense unless their hidden variables were non-local. Bell responded by saying "yes, that's quite right".
There are ways out of this...
Ah ok, I see the problem. Well, I will think about this and see if I can come up with a solution. I suspect that the answer might be that you need to enlarge your configuration space to include both position and spin (though the treatment of spin is certainly not trivial. a naive approach...
Correct. In particular, when you have spin, the set of trajectories in position space is non-unique. This means that there are multiple sets of trajectories that will answer all your position questions. You said that the Quantum Trajectory Method does not work when you have spin. I don't...
Ok, I see what you're saying. But I think your idea has much more in common with both Consistent Histories and the Quantum Trajectory Method than you think. The complete set of trajectories IS a Consistent History. It matches the mathematical definition. There is really no way around that...
Demystifier: Could you respond to my post at the top of this page (page 12)? Maybe I'm mistaken, but it really seems to me like your paper is describing exactly what I was asking about on page 1.
Oh, maybe you haven't yet noticed that you can get all of the dynamics just from the initial set of integral curves and the initial |\Psi|^2 (at least non-relativistically you can do this. it might break down somewhere in the relativistic case). I noticed that your paper gets all of its...
Hey hey hey! This paper exactly describes what I was talking about on page one of this thread (my third post)! This is just the Quantum Trajectory Method done relativistically. So the integral curves then do interact locally? (except for the initial conditions)
hallelujah
You should know the...
Lots of views, but no responses. I guess that means that people are interested, but no one has an answer.
Maybe someone knows some answers to elementary questions that I have (though I don't expect that the answers will all be so elementary!)
1. How do I form a differentials & do integrals...